Localized orthogonal decomposition method for the wave equation with a continuum of scales
Localized orthogonal decomposition method for the wave equation with a continuum of scales
This paper is devoted to numerical approximations for the wave equation with a multiscale character. Our approach is formulated in the framework of the Localized Orthogonal Decomposition (LOD) interpreted as a numerical homogenization with an $L^2$-projection. We derive explicit convergence rates of the method in the $L^{\infty }(L^2)$-, $W^{1,\infty }(L^2)$- …